amberrnn1 amberrnn1
  • 25-09-2017
  • Mathematics
contestada

One positive number is 1/5 of another number. The difference between the two numbers is 60. Find the numbers.

Respuesta :

gmany
gmany gmany
  • 15-06-2019

Answer:

15 and 75

Step-by-step explanation:

[tex]n-second\ number\\\\\dfrac{1}{5}n-first\ number\\\\n-\dfrac{1}{5}n=\dfrac{4}{5}n-difference\ between\ the\ two\ numbers\\\\\text{Equation:}\\\\\dfrac{4}{5}n=60\qquad\text{multiply both sides ny 5}\\\\\not5\cdot\dfrac{4}{\not5}n=(5)(60)\\\\4n=300\qquad\text{divide both sides by 4}\\\\\dfrac{4\!\!\!\!\diagup n}{4\!\!\!\!\diagup}=\dfrac{300}{4}\\\\n=75\\\\\dfrac{1}{5}n=\left(\dfrac{1}{5}\right)(75)=\dfrac{75}{5}=15[/tex]

Answer Link

Otras preguntas

Joe's bathroom floor is 5 feet wide and 8 feet long.  He will cover the floor with 3" square tiles.  How many tiles does Joe need?
what is a suspension bridge made of?
why forces are balanced and unbalanced? need help with this the lesson is tommorow
Two objects were lifted by a machine. One object had a mass of 2 kilograms and was lifted at a speed of 2m/sec. the other had a mass of 4 kilograms and was lift
How do you graph the line 2x+5y=20
When a bicycle rider puts on the brakes of a bicycle, friction cause some of the mechanical energy to change into what type of energy?
Which explanation of the solar system best fits the observations of the planets and how they orbit the sun? (Points : 3)       The gravity of a large, massive
What is The square root of 3 plus the square root of 1/3?
how does war affect people????????
How many sixths are in 3 and 1 third ??